ANTISYMMETRIC
Etymology
Adjective
antisymmetric (not comparable)
(set theory, order theory, of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
x R y 'x divides y' for all x, y ∈ N.
(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof
(of a matrix) Whose transpose equals its negative (i.e, MT = −M);
(of a tensor) That changes sign when any two indices are interchanged (e.g, Tijk = -Tjik);
, (3.47)
(of a bilinear form) For which B(w,v) = -B(v,w).
Synonyms
• (linear algebra): skew-symmetric
Source: Wiktionary